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Revisions by Michael S. Branicky

(See also Michael S. Branicky's wiki page)

(Underlined text is an addition; strikethrough text is a deletion.)

Showing entries 1-10 | older changes
A268111 Integers k such that the concatenation of 2^k and 3^k is prime.
(history; published version)
#45 by Michael S. Branicky at Wed Aug 21 06:33:12 EDT 2024
STATUS

editing

proposed

#44 by Michael S. Branicky at Wed Aug 21 06:33:10 EDT 2024
COMMENTS

a(21) > 55000. - Michael S. Branicky, Aug 21 2024

STATUS

approved

editing

A321616 Primes p = k^2 + (k-1)^2 such that k^p - (k-1)^p is prime.
(history; published version)
#37 by Michael S. Branicky at Wed Aug 21 06:31:39 EDT 2024
STATUS

editing

proposed

#36 by Michael S. Branicky at Wed Aug 21 06:31:37 EDT 2024
COMMENTS

a(5) > 209305. - Michael S. Branicky, Aug 21 2024

STATUS

approved

editing

A375593 allocated for Michel Lagneau
(history; published version)
#12 by Michael S. Branicky at Tue Aug 20 19:51:33 EDT 2024
STATUS

editing

proposed

Discussion
Wed Aug 21 13:17
Michel Marcus: needs more terms
#11 by Michael S. Branicky at Tue Aug 20 19:51:30 EDT 2024
PROG

print(list(islice(agen(), 5065))) # Michael S. Branicky, Aug 20 2024

STATUS

proposed

editing

#10 by Michael S. Branicky at Tue Aug 20 19:50:50 EDT 2024
STATUS

editing

proposed

#9 by Michael S. Branicky at Tue Aug 20 19:50:29 EDT 2024
PROG

(Python)

from sympy import divisors

from itertools import count, islice

def agen(): # generator of terms

adict, n = dict(), 2

for k in count(2):

d = divisors(k)

if len(d) < n-1: continue

dset, s = set(d), 0

for i, di in enumerate(d, 1):

s += di

if i >= n and i not in adict and s in dset:

adict[i] = d.index(s) + 1

while n in adict: yield adict[n]; n += 1

print(list(islice(agen(), 50))) # Michael S. Branicky, Aug 20 2024

STATUS

proposed

editing

Discussion
Tue Aug 20 19:50
Michael S. Branicky: can fit 20 more terms.  insert 1 here too?
A375574 allocated for Michel Lagneau
(history; published version)
#18 by Michael S. Branicky at Tue Aug 20 19:43:04 EDT 2024
STATUS

editing

proposed

#17 by Michael S. Branicky at Tue Aug 20 19:43:00 EDT 2024
PROG

%time print(list(islice(agen(), 50))) # Michael S. Branicky, Aug 20 2024

CROSSREFS

Cf. A000005, A000203, A001065, A240698, A375593.

STATUS

proposed

editing

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Last modified August 21 15:15 EDT 2024. Contains 375353 sequences. (Running on oeis4.)